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Finding the Fourth Proportional to 16,543.64, 22,825.04 and 9,468.70

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Solution

The fourth proportional to 16,543.64, 22,825.04 and 9,468.70 is: 13,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.64 : 22,825.04 = 9,468.70 : x
  2. Step 2: Convert to fraction form
    16,543.64/22,825.04 = 9,468.70/x
  3. Step 3: Cross multiply
    16,543.64x = 22,825.04 × 9,468.70
  4. Step 4: Simplify right side
    16,543.64x = 216,123,456.25
  5. Step 5: Solve for x
    x = 216,123,456.25/16,543.64
  6. Step 6: Final answer
    x = 13,063.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.